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\begin{equation*}\int e^{x^2}\,dx = e^{x^2}\left (\sum_{r=1}^n\frac{1}{2^n x^{2n-1}} \right)+ \frac {2n-1}{2^n}\int \frac{e^{x^2}\;dx}{x^{2n}} \end{equation*}
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